10240645354160 has 240 divisors, whose sum is σ = 26828697139200. Its totient is φ = 3630618141696.

The previous prime is 10240645354109. The next prime is 10240645354171. The reversal of 10240645354160 is 6145354604201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34150961 + ... + 34449519.

It is an arithmetic number, because the mean of its divisors is an integer number (111786238080).

Almost surely, 2^{10240645354160} is an apocalyptic number.

10240645354160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240645354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414348569600).

10240645354160 is an abundant number, since it is smaller than the sum of its proper divisors (16588051785040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10240645354160 is a wasteful number, since it uses less digits than its factorization.

10240645354160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298700 (or 298681 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 10240645354160 its reverse (6145354604201), we get a palindrome (16385999958361).

The spelling of 10240645354160 in words is "ten trillion, two hundred forty billion, six hundred forty-five million, three hundred fifty-four thousand, one hundred sixty".